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Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smaller of the numbers is -
Answer & Solution
Correct Answer:
Option
D
Let the numbers be 3x and 5x
Then,
= 3x × 5x = 2160
⇒ 15x2 = 2160
⇒ x2 = 144
⇒ x = 12
∴ Smaller number = 3x = 3 × 12 = 36
Then,
= 3x × 5x = 2160
⇒ 15x2 = 2160
⇒ x2 = 144
⇒ x = 12
∴ Smaller number = 3x = 3 × 12 = 36
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